Recent content by LastTimelord

I saw a picture of what it might look like when I was researching it, but I'm confused about something. The picture's caption said that the complex coordinates were darkened as their value got larger, leading to a helpful graph, but I do not understand what scale they used. For my program, I...

It's e^c*x, so it's logical to interpret it as "(e^c)*x", instead of what you seem to be doing: "e^(c*x), but I do now see what I did wrong: For some reason I forgot my exponent rules and thought "a^(bc) = (a^b)(a^c), when indeed it does not. Sorry, I may have been previously misunderstanding...

You can take out any coefficients. If it were added, it would need to have an x multiplied by it, but if the equation is a monomial, you can take any constant coefficients out of the integral, without affecting the answer.

Let's start by taking all of the constants out of the integral: e^(a + c)INT[e^sqrt(b^2+x^2)*x,dx] Now we need to expand out the x to "sqrt(b^2 + x^2)(x/sqrt(b^2 + x^2))". The reason for this will become apparent. e^(a + c)INT[e^sqrt(b^2+x^2)*sqrt(b^2 + x^2)(x/sqrt(b^2 + x^2)),dx]...

But from what I understand, pi is needed in order to calculate arctan... I may be wrong. I really don't know much about this.

... and for a long time, I took this for granted, but now I'm starting to wonder how it is doing this. From my knowledge, the only way one could calculate pi is to measure the diameter and radius of a circle, and find the ratio, but to calculate an irrational decimal as thoroughly as we have...

Oh thank you, I hadn't realized that other people had posted this.

Is 0.9999... equal to 1? I think it is, but there are several sources arguing that statement. Could you verify this?

I just read an article about "Total internal reflection", and it said something about a light being 100% reflected if it strikes a surface at an angle smaller than the "critical angle". Am I understanding this correctly?

I'm sure that it depends on what the laser is hitting. Also, I believe that the light could be converted into kinetic energy upon contact, in certain circumstances, which would cause an explosion.

Is it possible for a surface that reflects all visible light, and absorbs absolutely none to exist, Or would that violate the second law of thermodynamics?

I often scan over my work quickly after I'm done to make sure there are no obvious errors.

There are actually small creatures called "Tardigrades" that are able to survive for extended periods of time in space, and some scientists think that this may be how life got on earth. There is a word for this theory, but I can't remember it...

I think that the difference between propaganda and mind control would be that propaganda only influences a person's decisions, as opposed to making them.

Oh, I have been, I must have just typo'd the "i" when I posted this thread.